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Finding the Third Proportional to 10,077 and 21,939

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Solution

The third proportional to 10,077 and 21,939 is: 47,764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077 : 21,939 = 21,939 : x
  2. Step 2: Convert to fraction form
    10,077/21,939 = 21,939/x
  3. Step 3: Cross multiply
    10,077x = 21,939 × 21,939
  4. Step 4: Simplify right side
    10,077x = 481,319,721
  5. Step 5: Solve for x
    x = 481,319,721/10,077
  6. Step 6: Final answer
    x = 47,764.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.